Theorem 3.1 (Z. Lian and K. Lu [1]}) 
Let \((\Phi ,\mu )\)  and \(\lambda _{\alpha }\)  be as in above.
Then there exists a \(\Phi \) -invariant subset \(\Gamma \)  of \(\Omega \times \mathcal {B}\)  and at most finitely many real numbers
\(\lambda _1>\lambda _2>\cdots >\lambda _{r}\) 
